Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 2627-2676 |
Seitenumfang | 50 |
Fachzeitschrift | Transactions of the American Mathematical Society |
Jahrgang | 375 |
Ausgabenummer | 4 |
Frühes Online-Datum | 20 Jan. 2022 |
Publikationsstatus | Veröffentlicht - Apr. 2022 |
Abstract
A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to 2. We obtain some partial positive results on this conjecture.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
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in: Transactions of the American Mathematical Society, Jahrgang 375, Nr. 4, 04.2022, S. 2627-2676.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - ON SELF-EXTENSIONS OF IRREDUCIBLE MODULES OVER SYMMETRIC GROUPS
AU - Geranios, Haralampos
AU - Kleshchev, Alexander
AU - Morotti, Lucia
N1 - Funding Information: The first author gratefully acknowledges the support of The Royal Society through a University Research Fellowship. The second author was supported by the NSF grant DMS-1700905. The third author was supported by the DFG grants MO 3377/1-1 and MO 3377/1-2.
PY - 2022/4
Y1 - 2022/4
N2 - A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to 2. We obtain some partial positive results on this conjecture.
AB - A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to 2. We obtain some partial positive results on this conjecture.
UR - http://www.scopus.com/inward/record.url?scp=85126451484&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2006.12961
DO - 10.48550/arXiv.2006.12961
M3 - Article
AN - SCOPUS:85126451484
VL - 375
SP - 2627
EP - 2676
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
SN - 0002-9947
IS - 4
ER -